Haar wavelet-based simulation of the fractional-order systems

Fractional-order systems, because of its long-memory nature. have been used increasingly to model natural phenomena. However, Computational difficulties of the fractional-order calculus have delayed application of fractional-order systems in engineering. For this purpose, after deriving the fractional-order integral matrix of the Haar wavelet we present a method for analysis of the fractional-order systems. Examples verify the correctness and feasibility of the proposed method. The method greatly facilate the design of fractional-order control systems.